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research article

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

Donninger, Roland  
2010
Communications In Partial Differential Equations

We prove nonlinear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity tt-=p for [image omitted] in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coordinates.

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Type
research article
DOI
10.1080/03605300903575857
Author(s)
Donninger, Roland  
Date Issued

2010

Publisher

Taylor & Francis

Published in
Communications In Partial Differential Equations
Volume

35

Start page

669

End page

684

Subjects

Blow up

•

Self-similar solution

•

Wave equation

•

Blow-Up Rate

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
PDE  
Available on Infoscience
May 23, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/67708
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